numbers
sequencelengths
4
4
solutions
sequencelengths
1
11
solvable
bool
1 class
amt
float64
4.36
212
solved_rate
float64
0.2
1
mean_time
float64
4.63
41.1
std_time
float64
1.25
23
[ 5, 5, 13, 13 ]
[ "5×5-13/13" ]
true
7.22
0.854
7.42
3.23
[ 5, 6, 6, 6 ]
[ "(5-6/6)×6" ]
true
7.93
0.875
8.13
3.62
[ 5, 6, 6, 7 ]
[ "7+6+6+5", "(6+5-7)×6", "6×6-7-5", "(6+6)×(7-5)" ]
true
6.71
0.978
7.16
2.42
[ 5, 6, 6, 8 ]
[ "(8-5)×6+6" ]
true
11.39
0.812
10.82
6.07
[ 5, 6, 6, 9 ]
[ "9×6-6×5" ]
true
26.19
0.595
14.88
9.1
[ 5, 6, 6, 10 ]
[ "(10-5)×6-6", "(6+6)×10/5", "(6-10/5)×6" ]
true
9.09
0.89
9.28
3.96
[ 5, 6, 6, 12 ]
[ "6×5+6-12", "12×5-6×6", "(12-6)×5-6" ]
true
15.07
0.808
13.93
6.33
[ 5, 6, 7, 7 ]
[ "(5-7/7)×6" ]
true
6.82
0.874
6.95
2.8
[ 5, 6, 7, 8 ]
[ "(7+5)×(8-6)", "(7+5-8)×6", "8×6/(7-5)" ]
true
7.87
0.938
8.33
3.14
[ 5, 6, 7, 9 ]
[ "(7-5)×9+6" ]
true
27.1
0.6
16.58
9.35
[ 5, 6, 7, 12 ]
[ "(7+5)×12/6", "(7-5)×6+12" ]
true
9.5
0.846
9.49
4.46
[ 5, 6, 7, 13 ]
[ "6×5+7-13", "(13+7)×6/5", "7×6-13-5", "(13-7)×5-6" ]
true
10.72
0.862
10.82
5.55
[ 5, 6, 8, 8 ]
[ "(6+5-8)×8", "(5-8/8)×6" ]
true
7.42
0.924
7.86
3.05
[ 5, 6, 8, 9 ]
[ "(8+5-9)×6", "(9+6)×8/5" ]
true
9.73
0.899
10.01
4.44
[ 5, 6, 8, 10 ]
[ "8×6×5/10", "8×5-10-6", "(8-5)×10-6" ]
true
10.52
0.871
10.63
4.62
[ 5, 6, 8, 12 ]
[ "(12+8)×6/5", "12×6/(8-5)", "(5-12/6)×8" ]
true
10.47
0.877
10.44
4.12
[ 5, 6, 8, 13 ]
[ "(13+5)×8/6" ]
true
70.59
0.361
23.49
12.21
[ 5, 6, 9, 9 ]
[ "(9-6)×5+9", "(5-9/9)×6" ]
true
7.01
0.908
7.33
2.8
[ 5, 6, 9, 10 ]
[ "(9+5-10)×6", "10×9/5+6" ]
true
8.36
0.908
8.87
3.84
[ 5, 6, 9, 11 ]
[ "(11+9)×6/5", "(11+5)×9/6" ]
true
75.91
0.334
27.08
15.22
[ 5, 6, 9, 12 ]
[ "(6+5-9)×12", "(12-6)×(9-5)" ]
true
9.98
0.873
10.09
4.43
[ 5, 6, 9, 13 ]
[ "(13-5)×(9-6)" ]
true
16.49
0.69
12.61
6.14
[ 5, 6, 10, 10 ]
[ "(10+10)×6/5", "(5-10/10)×6" ]
true
7.91
0.867
8.17
3.91
[ 5, 6, 10, 11 ]
[ "(10+5-11)×6", "(11-5)×(10-6)" ]
true
7.91
0.905
8.27
3.58
[ 5, 6, 10, 12 ]
[ "10×6/5+12", "(6-12/10)×5" ]
true
13.42
0.758
11.43
5.76
[ 5, 6, 10, 13 ]
[ "13+10+6-5" ]
true
8.63
0.912
9.35
4.41
[ 5, 6, 11, 11 ]
[ "(5-11/11)×6" ]
true
7.19
0.871
7.44
3.33
[ 5, 6, 11, 12 ]
[ "12+11+6-5", "(11+5-12)×6", "(11-5)×6-12" ]
true
5.9
0.972
6.38
2.24
[ 5, 6, 11, 13 ]
[ "(13+11)×(6-5)", "(13-6)×5-11" ]
true
7.42
0.914
7.91
3.42
[ 5, 6, 12, 12 ]
[ "(12+12)×(6-5)", "(5-12/12)×6" ]
true
5.42
0.972
5.8
1.81
[ 5, 6, 12, 13 ]
[ "(13-6-5)×12", "13+12+5-6", "(12+5-13)×6" ]
true
6.1
0.975
6.51
2.17
[ 5, 6, 13, 13 ]
[ "(5-13/13)×6" ]
true
6.97
0.872
7.07
2.8
[ 5, 7, 7, 9 ]
[ "(7+5)×(9-7)" ]
true
13.42
0.74
11.42
5.28
[ 5, 7, 7, 10 ]
[ "(7-5)×7+10" ]
true
18.06
0.678
13.76
6.9
[ 5, 7, 7, 11 ]
[ "(5-11/7)×7" ]
true
90.39
0.275
26.22
13.42
[ 5, 7, 8, 8 ]
[ "(7-5)×8+8", "(8+7)×8/5" ]
true
9
0.826
8.73
4.81
[ 5, 7, 8, 9 ]
[ "(7+5-9)×8", "8×5-9-7" ]
true
9.45
0.886
9.68
4.27
[ 5, 7, 8, 10 ]
[ "(7+5)×(10-8)" ]
true
15.88
0.705
12.62
6.02
[ 5, 7, 9, 10 ]
[ "(10-7)×5+9" ]
true
25.19
0.615
16.65
9.31
[ 5, 7, 9, 11 ]
[ "(7+5)×(11-9)" ]
true
14.62
0.706
11.21
5.92
[ 5, 7, 9, 12 ]
[ "(9+5)×12/7" ]
true
59.78
0.396
18.45
11.83
[ 5, 7, 9, 13 ]
[ "13+9+7-5", "(13-7)×(9-5)" ]
true
9.95
0.911
10.37
4.02
[ 5, 7, 10, 10 ]
[ "10×7/5+10" ]
true
13.65
0.772
12.45
5.53
[ 5, 7, 10, 11 ]
[ "(10-5)×7-11" ]
true
64.03
0.362
25.09
14.01
[ 5, 7, 10, 12 ]
[ "(7+5)×(12-10)", "(7+5-10)×12", "12+10+7-5" ]
true
6.76
0.968
7.25
2.52
[ 5, 7, 10, 13 ]
[ "(13-5)×(10-7)" ]
true
23.22
0.616
16.85
7.67
[ 5, 7, 11, 11 ]
[ "11+11+7-5", "(11-5)×(11-7)" ]
true
6.86
0.963
7.27
2.66
[ 5, 7, 11, 13 ]
[ "(7+5)×(13-11)" ]
true
13.48
0.709
10.38
5.51
[ 5, 7, 12, 12 ]
[ "12×7-12×5" ]
true
16.1
0.66
10.65
6.25
[ 5, 7, 13, 13 ]
[ "13+13+5-7" ]
true
7.6
0.941
8.01
3.25
[ 5, 8, 8, 8 ]
[ "8×5-8-8", "8×8-8×5" ]
true
11.38
0.809
10.9
5.46
[ 5, 8, 8, 9 ]
[ "9×8/(8-5)", "(9-5)×8-8" ]
true
7.87
0.872
8.18
3.96
[ 5, 8, 8, 10 ]
[ "(8+5-10)×8", "10×8/5+8" ]
true
7.51
0.916
7.97
3.42
[ 5, 8, 8, 13 ]
[ "13+8+8-5" ]
true
8.14
0.925
8.5
3.7
[ 5, 8, 9, 11 ]
[ "(8-5)×11-9", "(9+5-11)×8", "(11-8)×5+9" ]
true
8.44
0.897
8.73
3.84
[ 5, 8, 9, 12 ]
[ "12+9+8-5", "12×8/(9-5)" ]
true
9.59
0.922
10.02
4.04
[ 5, 8, 9, 13 ]
[ "9×5-13-8" ]
true
65.12
0.363
34.82
16.79
[ 5, 8, 10, 11 ]
[ "11+10+8-5" ]
true
11.44
0.876
11.19
4.87
[ 5, 8, 10, 12 ]
[ "(10+5-12)×8" ]
true
12.3
0.842
11.57
5.31
[ 5, 8, 11, 12 ]
[ "(8+5-11)×12", "(11+5)×12/8", "(11-5)×(12-8)" ]
true
10.6
0.871
10.85
4.37
[ 5, 8, 11, 13 ]
[ "(11+5-13)×8", "(13-5)×(11-8)" ]
true
8.45
0.886
8.57
3.52
[ 5, 8, 12, 12 ]
[ "(8-5)×12-12" ]
true
7.86
0.753
7.04
3.77
[ 5, 9, 9, 11 ]
[ "11+9+9-5" ]
true
9.55
0.895
9.81
3.88
[ 5, 9, 9, 12 ]
[ "9×5-12-9", "(9-5)×9-12", "(12-9)×5+9" ]
true
15.14
0.76
13.47
6.87
[ 5, 9, 10, 10 ]
[ "10+10+9-5" ]
true
7.32
0.929
7.75
3.15
[ 5, 9, 10, 11 ]
[ "9×5-11-10" ]
true
49.16
0.426
29.23
14.1
[ 5, 9, 10, 13 ]
[ "10/5+13+9", "(13-10)×5+9" ]
true
13.76
0.781
12.06
6.09
[ 5, 9, 11, 13 ]
[ "(11-5)×(13-9)" ]
true
23.56
0.613
16.85
7.77
[ 5, 9, 12, 12 ]
[ "(9+5-12)×12", "(12×9+12)/5" ]
true
11.15
0.832
10.93
4.85
[ 5, 9, 12, 13 ]
[ "(13+5)×12/9", "(13-5)×(12-9)" ]
true
21.09
0.646
16.08
7.34
[ 5, 10, 10, 11 ]
[ "(11×10+10)/5" ]
true
44.17
0.416
15.46
7.54
[ 5, 10, 10, 12 ]
[ "12×10/(10-5)", "10/5+12+10" ]
true
9.25
0.87
9.19
3.62
[ 5, 10, 10, 13 ]
[ "(13×10-10)/5" ]
true
49.77
0.39
17.43
8.13
[ 5, 10, 11, 11 ]
[ "10/5+11+11" ]
true
7.37
0.904
7.66
2.88
[ 5, 10, 12, 13 ]
[ "(10+5-13)×12" ]
true
10.91
0.834
10.46
4.53
[ 5, 10, 13, 13 ]
[ "10×5-13-13", "13+13-10/5", "(13-5)×(13-10)" ]
true
7.58
0.927
8.01
2.78
[ 5, 11, 12, 12 ]
[ "12×12/(11-5)", "(12×11-12)/5" ]
true
9.69
0.827
9.23
4.34
[ 6, 6, 6, 6 ]
[ "6+6+6+6", "6×6-6-6" ]
true
4.57
0.995
4.81
1.47
[ 6, 6, 6, 8 ]
[ "(6+6)×(8-6)", "(6+6-8)×6" ]
true
9.58
0.914
9.91
4.25
[ 6, 6, 6, 9 ]
[ "6×6×6/9", "(9-6)×6+6" ]
true
7.64
0.899
8.15
3.98
[ 6, 6, 6, 10 ]
[ "10×6-6×6" ]
true
17.77
0.657
11.82
6.68
[ 6, 6, 6, 11 ]
[ "(11-6)×6-6" ]
true
7.35
0.888
7.65
3.55
[ 6, 6, 6, 12 ]
[ "(6+6)×12/6", "(6-12/6)×6" ]
true
9.32
0.892
9.49
4.57
[ 6, 6, 7, 9 ]
[ "(6+6)×(9-7)", "(7+6-9)×6" ]
true
8.38
0.908
8.79
3.76
[ 6, 6, 7, 10 ]
[ "(10-7)×6+6" ]
true
8.05
0.841
8.08
4.22
[ 6, 6, 7, 11 ]
[ "11×6-7×6" ]
true
25.91
0.581
13.95
8.68
[ 6, 6, 7, 12 ]
[ "7×6-12-6", "(12-7)×6-6" ]
true
10.54
0.841
10.26
4.81
[ 6, 6, 8, 8 ]
[ "8×6/(8-6)" ]
true
10.07
0.861
9.87
4.49
[ 6, 6, 8, 9 ]
[ "(6+6-9)×8", "(8-6)×9+6" ]
true
8.59
0.903
8.93
3.61
[ 6, 6, 8, 10 ]
[ "(6+6)×(10-8)", "(8+6-10)×6" ]
true
9.1
0.905
9.37
4.22
[ 6, 6, 8, 11 ]
[ "(11-8)×6+6" ]
true
8.98
0.829
8.69
4.54
[ 6, 6, 8, 12 ]
[ "8×6×6/12", "12×6-8×6", "(8-6)×6+12", "(12+6)×8/6" ]
true
9.86
0.907
10.17
4.36
[ 6, 6, 8, 13 ]
[ "(13-8)×6-6" ]
true
9.29
0.833
9.01
4.48
[ 6, 6, 9, 10 ]
[ "(9-6)×10-6", "(10+6)×9/6" ]
true
17.62
0.702
13.9
7.22
[ 6, 6, 9, 11 ]
[ "(6+6)×(11-9)", "(9+6-11)×6" ]
true
8.79
0.886
9.14
4.16
[ 6, 6, 9, 12 ]
[ "12×6/(9-6)", "12×9/6+6", "(12-9)×6+6" ]
true
7.98
0.918
8.26
3.39
[ 6, 6, 9, 13 ]
[ "13×6-9×6" ]
true
31.03
0.538
14.15
9.07
[ 6, 6, 10, 12 ]
[ "(6+6)×(12-10)", "(6+6-10)×12", "(10+6-12)×6", "(12-6)×(10-6)" ]
true
7.95
0.939
8.36
3.19
[ 6, 6, 10, 13 ]
[ "6/6+13+10", "(13-10)×6+6" ]
true
5.97
0.938
6.5
2.71
[ 6, 6, 11, 12 ]
[ "6/6+12+11" ]
true
6.39
0.893
6.74
2.97